Schizophrenia is a chronic brain disorder that causes severe disability. It is characterized by psychotic symptoms, including hallucinations and delusions. Neurocognitive deficits, such as impaired neurocognitive processing efficiency, also affect people with schizophrenia. This deficiency in the speed and accuracy with which the brain perceives and responds to targets causes scrambled messages to be transmitted in the brain, thereby affecting executive control and memory. Medications are available that effectively treat the psychotic symptoms. The neurocognitive deficits, however, do not subside with medication treatment, and are responsible for the failure to improve the e their psychosocial functioning of people with schizophrenia, even after their psychotic symptoms have gone into remission. The targeted cognitive training (TCT) exercises in this study are specifically designed to improve speed and accuracy in the perception of and response to verbal and visuo-spatial targets. This study will determine the effectiveness of reward-intensive, computer-based TCT in improving neurocognitive deficits in people with schizophrenia.